The calculated distance (air line) between At-Bashi and Kochkor-Ata is approximately 173 miles respectively 278 kilometers.
By car or train, the actual journey to Kochkor-Ata is certainly longer, as only the direct route (as the crow flies) between At-Bashi and Kochkor-Ata has been calculated here.
Air line (approximately)
278 kilometers
150 nautical miles